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996974433 = 3375133
BaseRepresentation
bin111011011011001…
…001111101100001
32120110222112211000
4323123021331201
54020211140213
6242532342213
733464100000
oct7333117541
92513875730
10996974433
11471847714
12239a74969
1312b71b000
14965a0c37
155c7d4c73
hex3b6c9f61

996974433 has 96 divisors (see below), whose sum is σ = 1866681600. Its totient is φ = 525876624.

The previous prime is 996974413. The next prime is 996974449. The reversal of 996974433 is 334479699.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 996974433 - 26 = 996974369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 996974433.

It is not an unprimeable number, because it can be changed into a prime (996974413) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76690335 + ... + 76690347.

It is an arithmetic number, because the mean of its divisors is an integer number (19444600).

Almost surely, 2996974433 is an apocalyptic number.

It is an amenable number.

996974433 is a deficient number, since it is larger than the sum of its proper divisors (869707167).

996974433 is an frugal number, since it uses more digits than its factorization.

996974433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 23 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The square root of 996974433 is about 31574.9019475912. The cubic root of 996974433 is about 998.9904588363.

The spelling of 996974433 in words is "nine hundred ninety-six million, nine hundred seventy-four thousand, four hundred thirty-three".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 169 189 273 343 351 441 507 637 819 1029 1183 1323 1521 1911 2197 2401 2457 3087 3549 4459 4563 5733 6591 7203 8281 9261 10647 13377 15379 16807 17199 19773 21609 24843 31213 31941 40131 46137 50421 57967 59319 64827 74529 93639 107653 120393 138411 151263 173901 218491 223587 280917 322959 405769 415233 453789 521703 655473 753571 842751 968877 1217307 1565109 1966419 2260713 2840383 2906631 3651921 5274997 5899257 6782139 8521149 10955763 15824991 20346417 25563447 36924979 47474973 76690341 110774937 142424919 332324811 996974433