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745525248 = 2123132359
BaseRepresentation
bin101100011011111…
…101000000000000
31220221211121101020
4230123331000000
53011323301443
6201551105440
724321600666
oct5433750000
91827747336
10745525248
11352914176
12189812280
13bb5bbb00
1471028c36
15456b6583
hex2c6fd000

745525248 has 156 divisors (see below), whose sum is σ = 2158492320. Its totient is φ = 228753408.

The previous prime is 745525223. The next prime is 745525273. The reversal of 745525248 is 842525547.

It is an interprime number because it is at equal distance from previous prime (745525223) and next prime (745525273).

It is a tau number, because it is divible by the number of its divisors (156).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2076493 + ... + 2076851.

Almost surely, 2745525248 is an apocalyptic number.

745525248 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745525248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079246160).

745525248 is an abundant number, since it is smaller than the sum of its proper divisors (1412967072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

745525248 is a wasteful number, since it uses less digits than its factorization.

745525248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 377 counting only the distinct ones).

The product of its digits is 448000, while the sum is 42.

The square root of 745525248 is about 27304.3082314861. The cubic root of 745525248 is about 906.7497655477.

It can be divided in two parts, 74552 and 5248, that added together give a triangular number (79800 = T399).

The spelling of 745525248 in words is "seven hundred forty-five million, five hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 359 384 416 507 512 624 676 718 768 832 1014 1024 1077 1248 1352 1436 1536 1664 2028 2048 2154 2496 2704 2872 3072 3328 4056 4096 4308 4667 4992 5408 5744 6144 6656 8112 8616 9334 9984 10816 11488 12288 13312 14001 16224 17232 18668 19968 21632 22976 26624 28002 32448 34464 37336 39936 43264 45952 53248 56004 60671 64896 68928 74672 79872 86528 91904 112008 121342 129792 137856 149344 159744 173056 182013 183808 224016 242684 259584 275712 298688 346112 364026 367616 448032 485368 519168 551424 597376 692224 728052 735232 896064 970736 1038336 1102848 1194752 1456104 1470464 1792128 1941472 2076672 2205696 2389504 2912208 3584256 3882944 4411392 4779008 5824416 7168512 7765888 9558016 11648832 14337024 15531776 19116032 23297664 28674048 31063552 46595328 57348096 62127104 93190656 124254208 186381312 248508416 372762624 745525248