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3975226272 = 2532291792659
BaseRepresentation
bin1110110011110001…
…0010001110100000
3101021001002102021200
43230330102032200
531120124220042
61454242521200
7200336602653
oct35474221640
911231072250
103975226272
11175aa03376
1292b366200
134b47594c4
14299d4589a
15183ecec4c
hexecf123a0

3975226272 has 144 divisors (see below), whose sum is σ = 11764116000. Its totient is φ = 1271757312.

The previous prime is 3975226253. The next prime is 3975226337. The reversal of 3975226272 is 2726225793.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1493679 + ... + 1496337.

It is an arithmetic number, because the mean of its divisors is an integer number (81695250).

Almost surely, 23975226272 is an apocalyptic number.

3975226272 is a gapful number since it is divisible by the number (32) 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 3975226272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882058000).

3975226272 is an abundant number, since it is smaller than the sum of its proper divisors (7788889728).

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

3975226272 is a wasteful number, since it uses less digits than its factorization.

3975226272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2872 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 3975226272 is about 63049.3954927405. The cubic root of 3975226272 is about 1584.1171094928.

The spelling of 3975226272 in words is "three billion, nine hundred seventy-five million, two hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 179 232 261 288 348 358 464 522 537 696 716 928 1044 1074 1392 1432 1611 2088 2148 2659 2784 2864 3222 4176 4296 5191 5318 5728 6444 7977 8352 8592 10382 10636 12888 15573 15954 17184 20764 21272 23931 25776 31146 31908 41528 42544 46719 47862 51552 62292 63816 77111 83056 85088 93438 95724 124584 127632 154222 166112 186876 191448 231333 249168 255264 308444 373752 382896 462666 475961 498336 616888 693999 747504 765792 925332 951922 1233776 1387998 1427883 1495008 1850664 1903844 2467552 2775996 2855766 3701328 3807688 4283649 5551992 5711532 7402656 7615376 8567298 11103984 11423064 13802869 15230752 17134596 22207968 22846128 27605738 34269192 41408607 45692256 55211476 68538384 82817214 110422952 124225821 137076768 165634428 220845904 248451642 331268856 441691808 496903284 662537712 993806568 1325075424 1987613136 3975226272