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46972980 = 22335372351
BaseRepresentation
bin1011001100110…
…0000000110100
310021101110211000
42303030000310
544011113410
64354443300
71110156315
oct263140064
9107343730
1046972980
112457354a
1213893530
139968682
14634a60c
1541ccdc0
hex2ccc034

46972980 has 96 divisors (see below), whose sum is σ = 150151680. Its totient is φ = 12182400.

The previous prime is 46972973. The next prime is 46973021. The reversal of 46972980 is 8927964.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18805 + ... + 21155.

It is an arithmetic number, because the mean of its divisors is an integer number (1564080).

Almost surely, 246972980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46972980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75075840).

46972980 is an abundant number, since it is smaller than the sum of its proper divisors (103178700).

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

46972980 is a wasteful number, since it uses less digits than its factorization.

46972980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 46972980 is about 6853.6836810579. The cubic root of 46972980 is about 360.8134383878.

The spelling of 46972980 in words is "forty-six million, nine hundred seventy-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 540 555 666 740 999 1110 1332 1665 1998 2220 2351 3330 3996 4702 4995 6660 7053 9404 9990 11755 14106 19980 21159 23510 28212 35265 42318 47020 63477 70530 84636 86987 105795 126954 141060 173974 211590 253908 260961 317385 347948 423180 434935 521922 634770 782883 869870 1043844 1269540 1304805 1565766 1739740 2348649 2609610 3131532 3914415 4697298 5219220 7828830 9394596 11743245 15657660 23486490 46972980